Saturday, 25 July 2015

Probability

1. 
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
1
/
2
     B.
2
/
5
8
/
15
9
/
20

2. 
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
10
/
21
11 /
21
 2
/
7
5
/
7

3. 
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
1
/
3
3
/
4
7
/
19
8
/
21

4. 
What is the probability of getting a sum 9 from two throws of a dice?
1 /
6
1
/
8
1 /
9
1
/
12

5. 
Three unbiased coins are tossed. What is the probability of getting at most two heads?
3
/
4
1
/
4
3
/
8
7 /
8

6. 
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
21 /
46
25
/
117
1
/
50
3
/
25

7. 
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
1
/
15
25
/
57
35
/
256
1
/
221

8. 
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
1
/
22
3
/
22
2
/
91
2
/
77

9. 
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
3
/
20
29
/
34
47
/
100
13
/
102

10.
A five-digit number is formed by using digits 1,2,3,4 and 5 without repetition. What is the probability that the number is divisible by 4?

A.
1/5
B.
5/6
C.
4/5
D.
None of these

11.
A bag contains 5 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag. Find the probability that one ball is red and one is green.

A.
19/20
B.
17/20
C.
8/10
D.
21/40

12.
There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

A.
6/7
B.
1/8
C.
3/8
D.
5/9

13.
Set A = {2,3,4,5}
Set B = {4,5,6,7,8}
Two integers will be randomly selected from the sets above, one integer from Set A and one integer from Set B. What is the probability that the sum of the two integers will equal 9?

A.
0.20
B.
0.25
C.
0.30
D.
0.33

14.
Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.

A.
27/34
B.
25/34
C.
19/34
D.
21/34 

15.
P and Q sit in a ring arrangement with 10 persons. What is the probability that P and Q will sit together?

A.
2/11
B.
3/11
C.
2/9
D.
4/9 

16.
Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY' the two I's come together.

A.
1/7
B.
3/5
C.
5/11
D.
1/5

17. A box contains 4 Black balls, 3 red balls and 5 green balls. 2 balls are drawn from the box at random . What is the probability that both the balls are of the same color.

 A. 19/66  B. 21/66  C. 25/66  D. 27/66

18. A committee of 4 is to be formed from among 4 girls and 5 boys. What is the probability that the committee will have  no. Of  boys less than no. of girls.

 A. 1/4   B. 1/5   C. 1/6  D. 1/7

19. If the letter of word EQUATION  be arranged at random. What is the probability that there are six letters between N and  E.

A. 1/28  B. 1/29  C. 1/30  D. 1/32

20. A three digit number is  formed with the digits 1,3,6,4 and 5 at random. What is the chance that the number formed is divisible by 2.

 A. 1/5 B. 2/5 C. 3/5 D. 4/5

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